生物数学（第2卷·第3版）

图书标准信息

• 作者 [美]莫里（Murray J.D.） 著
• 出版社 世界图书出版公司
• 出版时间 2013-01
• 版次 3
• ISBN 9787510052750
• 定价 129.00元
• 装帧 平装
• 开本 24开
• 纸张 胶版纸
• 页数 811页
• 正文语种 英语
• 原版书名 Mathematical Biology Ⅱ:Spatial Models and Biomedical Applications

【内容简介】

　　《生物数学（第2卷·第3版）》近代生物数学方面的名著。第三版，在原来版本的基础上做了全面修订。近年来这个科目的茁壮成长和新知识点的不断涌现，新的版本将原来的一卷集分成上下两卷，扩大了知识容量，第二卷绝大多数是新增知识点。书中对生物学中的反应扩散方程和形态发生学的数学理论及最新研究成果作了全面介绍，是学习与研究生物数学的一部不可多得的参考书。

【作者简介】

作者：（美国）莫里（Murray J.D. ）

【目录】

CONTENTS,VOLUMEⅡ
PrefacetotheThirdEdition
PrefacetotheFirstEdition

1.Multi-SpeciesWavesandPracticalApplications
1.1IntuitiveExpectations
1.2WavesofPursuitandEvasioninPredator-PreySystems
1.3CompetitionModelfortheSpatialSpreadoftheGreySquirrelinBritain
1.4SpreadofGeneticallyEngineeredOrganisms
1.5TravellingFrontsintheBelousov-ZhabotinskiiReaction
1.6WavesinExcitableMedia
1.7TravellingWaveTrainsinReactionDiffusionSystemswithOscillatoryKinetics
1.8SpiralWaves
1.9SpiralWaveSolutionsofReactionDiffusionSystems
Exercises

2.SpatialPatternFormationwithReactionDiffusionSystems
2.1RoleofPatterninBiology
2.2ReactionDiffusion（Taring）Mechanisms
2.3GeneralConditionsforDiffusion-DrivenInstability:LinearStabilityAnalysisandEvolutionofSpatialPattern
2.4DetailedAnalysisofPatternInitiationinaReactionDiffusionMechanism
2.5DispersionRelationluringSpace,ScaleandGeometryEffectsinPatternFormationModels
2.6ModeSelectionandtheDispersionRelation
2.7PatternGenerationwithSingle-SpeciesModels:SpatialHeterogeneitywiththeSpruceBudwormModel
2.8SpatialPatternsinScalarPopulationInteractionDiffusion
EquationswithConvection:EcologicalControlStrategies
2.9NonexistenceofSpatialPatternsinReactionDiffusionSystems:GeneralandParticularResults
Exercises

3.AnimalCoatPatternsandOtherPracticalApplicationsofReactionDiffusionMechanisms
3.1MammalianCoatPatterns——HowtheLeopardGotItsSpots
3.2Teratologies:ExamplesofAnimalCoatPatternAbnormalities
3.3APatternFormationMechanismforButterflyWingPatterns
3.4ModellingHairPatternsinaWhorlinAcetabularia

4.PatternFormationonGrowingDomains:AlligatorsandSnakes
4.1StripePatternFormationintheAlligator:Experiments
4.2ModellingConcepts:DeterminingtheTimeofStripeFormation
4.3StripesandShadowStripesontheAlligator
4.4SpatialPatterningofTeethPrimordiaintheAlligator:BackgroundandRelevance
4.5BiologyofToothInitiation
4.6ModellingToothPrimordiumInitiation:Background
4.7ModelMechanismforAlligatorTeethPatterning
4.8ResultsandComparisonwithExperimentalData
4.9PredictionExperiments
4.10ConcludingRemarksonAlligatorToothSpatialPatterning
4.11PigmentationPatternFormationonSnakes
4.12Cell-ChemotaxisModelMechanism
4.13SimpleandComplexSnakePatternElements
4.14PropagatingPatternGenerationwiththeCell-ChemotaxisSystem

5.BacterialPatternsandChemotaxis
5.1BackgroundandExperimentalResults
5.2ModelMechanismforEcoilintheSemi-SolidExperiments
5.3LiquidPhaseModel:IntuitiveAnalysisofPatternFormation
5.4InterpretationoftheAnalyticalResultsandNumericalSolutions
5.5Semi-SolidPhaseModelMechanismforStyphimurium
5.6LinearAnalysisoftheBasicSemi-SolidModel
5.7BriefOutlineandResultsoftheNonlinearAnalysis
5.8SimulationResults,ParameterSpacesandBasicPatterns
5.9NumericalResultswithInitialConditionsfromthe~Experiments
5.10SwarmRingPatternswiththeSemi-SolidPhaseModelMechanism
5.11BranchingPatternsinBacillussubtilis

6.MechanicalTheoryforGeneratingPatternandForminDevelopment
6.1Introduction,MotivationandBackgroundBiology
6.2MechanicalModelforMesenchymalMorphogenesis
6.3LinearAnalysis,DispersionRelationandPatternFormationPotential
6.4SimpleMechanicalModelsWhichGenerateSpatialPatternswithComplexDispersionRelations
6.5PeriodicPatternsofFeatherGerms
6.6CartilageCondensationsinLimbMorphogenesisandMorphogeneticRules
6.7EmbryonicFingerprintFormation
6.8MechanochemicalModelfortheEpidermis
6.9FormationofMicrovilli
6.10ComplexPatternFormationandTissueInteractionModels
Exercises

7.Evolution,MorphogeneticLaws,DevelopmentalConstraintsandTeratologies
8.AMechanicalTheoryofVascularNetworkFormation
9.EpidermalWoundHealing
10.DermalWoundHealing
11.GrowthandControlofBrainTumours
12.NeuralModelsofPatternFormation
13.GeographicSpreadandControlofEpidemics
14.WolfTerritoriality,Wolf-DeerInteractionandSurvival
Appendix
AGeneralResultsfortheLaplacianOperatorinBoundedDomains
Bibliography
Index